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Contact Hamiltonian and Lagrangian systems with nonholonomic constraints

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dc.contributor.authorLeón, Manuel de
dc.contributor.authorLainz Valcázar, Manuel
dc.contributor.authorJiménez Morales, Víctor Manuel
dc.date.accessioned2024-05-20T11:47:33Z
dc.date.available2024-05-20T11:47:33Z
dc.date.issued2021
dc.description.abstractIn this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so that they satisfy the nonholonomic constraints. We prove that the nonholonomic dynamics can be obtained as a projection of the unconstrained Hamiltonian vector field. Finally, we construct the nonholonomic bracket, which is an almost Jacobi bracket on the space of observables and provides the nonholonomic dynamics.en
dc.description.versionversión publicada
dc.identifier.doihttps://doi.org/10.3934/JGM.2021001
dc.identifier.issn1941-4889
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12559
dc.journal.titleJournal of Geometric Mechanics
dc.journal.volume13
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsNonholonomic constraints
dc.subject.keywordscontact Hamiltonian systems
dc.subject.keywordsHerglotz principle
dc.subject.keywordsdissipative systems
dc.subject.keywordsnonholonomic mechanics
dc.subject.keywordsJacobi nonholonomic bracket
dc.titleContact Hamiltonian and Lagrangian systems with nonholonomic constraintses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication983a34b9-02e6-4096-96d9-a488273f8742
relation.isAuthorOfPublication.latestForDiscovery983a34b9-02e6-4096-96d9-a488273f8742
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